| Case | Ra_0.5 | Viscosity variation | l and m for initial perturbation | Resolution |
| BM1A | 7e3 | 1e0 | (3,2) | 32x(12×32×32) |
| BM1B | 7e3 | 1e1 | (3,2) | 32x(12×32×32) |
| BM1C | 7e3 | 2e1 | (3,2) | 32x(12×32×32) |
| BM1D | 7e3 | 1e2 | (3,2) | 32x(12×32×32) |
| BM1E | 7e3 | 1e3 | (3,2) | 32x(12×32×32) |
| BM1F | 7e3 | 1e4 | (3,2) | 32x(12×32×32) |
| BM1G | 7e3 | 1e5 | (3,2) | 32x(12×32×32) |
| BM1H | 7e3 | 1e6 | (3,2) | 32x(12×32×32) |
| BM2A | 7e3 | 1e0 | (4,0)+(4,4) | 32x(12×32×32) |
| BM2B | 7e3 | 2e1 | (4,0)+(4,4) | 32x(12×32×32) |
| BM2C | 7e3 | 3e1 | (4,0)+(4,4) | 32x(12×32×32) |
| BM2D | 7e3 | 1e2 | (4,0)+(4,4) | 32x(12×32×32) |
| BM2E | 7e3 | 1e3 | 4,0)+(4,4) | 32x(12×32×32) |
| BM2F | 7e3 | 1e4 | (4,0)+(4,4) | 32x(12×32×32) |
| BM2G | 7e3 | 1e5 | (4,0)+(4,4) | 32x(12×32×32) |
| BM2H | 7e3 | 1e6 | (4,0)+(4,4) | 32x(12×32×32) |
| BM3A | 1e5 | 1e0 | (4,0)+(4,4) | 48x(12×48×48) |
| BM3B | 1e5 | 1e1 | from BM3A | 48x(12×48×48) |
| BM3C | 1e5 | 3e1 | from BM3A | 48x(12×48×48) |
| BM3D | 1e5 | 1e2 | from BM3C | 48x(12×48×48) |
Note:
1) Resolution in radial direction (the number outside of the parentheses) for our calculations is refined near the top and bottom boundaries.
2) Resolution for comparison cases is 48x(6×48×48) for Stemmer et al. {2006}, 102x(102×204) for Yoshida and Kageyama {2004}, where the number outside parentheses represents the resolution in radial direction.
3) Ratcliff et al {1996} used different resolution for cubic and tetrahedral symmetry cases, as they considered the symmetry of these cases and did not compute them in a full sphere. For cubic symmetry cases, the equivalent resolution is 32, 64, and 128 cells in radial, co-latitude and longitude directions, respectively, and these numbers are 32, 32, and 64 for the tetrahedral cases.